7k citations · 40.1k across the 180 of their papers we have counts for
9 papers · 2 filters
Evaluation of Single Vehicle Data in Dependence of the Vehicle-Type, Lane, and Site
Benno Tilch, Dirk Helbing
In this paper we study dependencies of fundamental diagrams, time gap distributions, and velocity-distance relations on vehicle types, lanes and/or measurement sites. We also propo…
Economics-Based Optimization of Unstable Flows
Bernardo A. Huberman, Dirk Helbing
As an example for the optimization of unstable flows, we present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. It explo…
Optimal Self-Organization
Dirk Helbing, Tamas Vicsek
We present computational and analytical results indicating that systems of driven entities with repulsive interactions tend to reach an optimal state associated with minimal intera…
Freezing by Heating in a Driven Mesoscopic System
Dirk Helbing, Illes Farkas, Tamas Vicsek
We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip…
Self-Organised Optimality in Driven Systems with Symmetrical Interactions
Dirk Helbing, Tamas Vicsek
Extremal principles are fundamental in our interpretation of phenomena in nature. One of the best known examples is the second law of thermodynamics, governing most physical and ch…
Derivation, Properties, and Simulation of a Gas-Kinetic-Based, Non-Local Traffic Model
Martin Treiber, Ansgar Hennecke, Dirk Helbing
We derive macroscopic traffic equations from specific gas-kinetic equations, dropping some of the assumptions and approximations made in previous papers. The resulting partial diff…